3x+2y=8
2y=-3x+8
y=(-3/2)x+4
The slope of the line that is perpendicular to this is 2/3
The perpendicular line passes through the y-intercept of this line, which is 4
The equation of the perpendicular line is:
y= (2/3)x+4
Answer:
For number 9)
Interval notation ![(-\infty,3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C3%5D)
For number 10)
Interval notation:
.
Step-by-step explanation:
On square roots you have to make sure the inside is positive or zero.
So the domain of the first one will come from solving

Subtract 6 on both sides:

Divide both sides by -2 (flip inequality when divide both sides by negative):

The domain is less than or equal to 3.
Interval notation ![(-\infty,3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C3%5D)
On fractions you have to watch out for dividing by 0.
The domain is all real numbers except when 4x+2=0.
4x+2=0
Subtract 2 on both sides:
4x=-2
Divide both sides by 4:
x=-2/4
Reduce:
x=-1/2
The domain is all real numbers except when x=-1/2
Interval notation:
.
1.8k kilometers is needed to make 3 boxes
PLS, WHAT PROOF IS THAT!!!
Answer:
Step-by-step explanation:
a) Volume of small cube box = 8 in³
side³ = 8 = 2³
Side of small box = 2 in
b) Side of larger box = 2 + 6 = 8 in
Volume of larger box = 8*8*8 = 512 in³
c) Number of balls to be shipped in the larger box = Volume of larger box ÷ Volume of smaller box
= 512 ÷ 8
= 64 golf balls